2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182920A black hole can be regarded as a thermodynamic system described by a grand canonical ensemble. In this paper, we study the Bekenstein-Hawking entropy of higher-dimensional rotating black holes using the Euclidean path-integral method of Gibbons and Hawking. We give a general proof demonstrating that ignoring quantum corrections, the Bekenstein-Hawking entropy is equal to one-fourth of its horizon area for general higher-dimensional rotating black holes.9 pages, Latex, v2: arxiv-id for the references supplemented, v3: accepted for publication by Progress of Theoretical PhysicsHigh Energy Physics - Theorytext